TY - JOUR
T1 - Geometric Estimates of the First Eigenvalue of $(p,q)$-Elliptic Quasilinear System Under Integral Curvature Condition
AU - Habibi Vosta Kolaei , Mohammad Javad
AU - Azami , Shahroud
JO - Journal of Partial Differential Equations
VL - 4
SP - 348
EP - 368
PY - 2021
DA - 2021/08
SN - 34
DO - http://doi.org/10.4208/jpde.v34.n4.3
UR - https://global-sci.org/intro/article_detail/jpde/19403.html
KW - Eigenvalue, $(p,q)$-elliptic quasilinear system, geometric estimate, integral curvature.
AB - <p style="text-align: justify;">Consider (M,g) as a complete, simply connected Riemannian manifold.
The aim of this paper is to provide various geometric estimates in different cases for
the first eigenvalue of $(p,q)$-elliptic quasilinear system in both Dirichlet and Neumann
conditions on Riemannian manifold. In some cases we add integral curvature condition and maybe we prove some theorems under other conditions.</p>